For any `n in N`, the value of the expression `sqrt(2+sqrt(2+sqrt(2+..........n times)))` is

The value of sqrt(a sqrt(a sqrt(a............n" times ")))=

The value of lim_(n rarr oo)(sqrt(1)+sqrt(2)+sqrt(3)+....+2sqrt(n))/(n sqrt(n)) is

The value of lim_(n->oo)(sqrt(1)+sqrt(2)+sqrt(3)+.....+sqrt(n))/(nsqrt(n)) is

Find the value of m and n : if : ( 3+ sqrt2 )/( 3- sqrt2) = m + n sqrt2

If sqrt(2^n) = 16 , then the value of n is

Use the principle of mathematical induction to prove that for all n in N sqrt(2+sqrt(2+sqrt(2+...+...+sqrt2)))=2cos ((pi)/(2^(n+1))) when the LHS contains n radical signs.

Use the principle of mathematical induction to prove that for all n in N sqrt(2+sqrt(2+sqrt(2+...+...+sqrt2)))=2cos ((pi)/(2^(n+1))) when the LHS contains n radical signs.

Use the principle of mathematical induction to prove that for all n in N sqrt(2+sqrt(2+sqrt(2+...+...+sqrt2)))=2cos ((pi)/(2^(n+1))) when the LHS contains n radical signs.

The value of lim_(nto oo)(1/(sqrt(n^(2)))+1/(sqrt(n^(2)+1))+…..+1/(sqrt(n^(2)+2n))) is

The value of lim_(xrarroo)(sqrt(n^2+1)+sqrt(n))/(4sqrt(n^4+n)+4sqrt(n)) , is